4.82. Evaluate the proposed proof of the following result. Result Let x, y e Z. If x = 2(mod 3) and y = 2 (mod 3), then xy = 1 (mod 3). Proof Let x = 2 (mod 3) and y = 2(mod 3). Then a = 3k + 2 and y 3k + 2 for some integer k. Hence, (3k + 2)(3k + 2) = 9k2 + 12k +4 = 9k + 12k + 3+1 3(3k2 + 4k + 1) + 1. xy

Q: How far does the tip of the minute hand of a clock move in 40 minutes if the hand is 4 inches long?…

A: We have to find distance of the tip of the minute hand of a clock move in 40 minutes if the hand is…

Q: 5 – 2i 1+i If A = find A. 2 – i -2 – 5i ? ? A = А ? ?

A: We will find out the required value.

Q: Verify the following identity is true and choose the easiest way to evaluate 12 seg e 10 O sec e

A: Here we double integration to prove LHS is equal to RHS

Q: When writing proofs by contradiction we begin by assuming the opposite of a statement, and then show…

A: Given are some statements   To Find: Statements which are Contradictions.

Q: tan -l V3

A:

Q: I needto Verify each identity but i dont know where to start   * i took a picture of the question.

A:

Q: Write a paragraph proof to show that ZABF is complementary to ZEBD. F D. A B

A: Fiɡure in which ∠ABF= x°, ∠FBE = x°, ∠EBD=y°, ∠DBC=y° To write a paragraph proof to show that ∠ABF…

Q: 5. Use the diagram below to prove MOOP P. Q

A: Given the diagram

Q: The odd numbers between and including 23 and 3

A: We know that,  The odd number is the numbers which is not divisible by 2 like 1,3,5,extra.

Q: For all values of o for which the expresSIon is defined cos (20) tan ² answer should contain coto,…

A: We have to solve the problem

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.